A hemivariational inequality and a nonconvex energy bundle approach to the problem of debonding in adhesively bonded composite structures (Q2724670)

The authors study the debonding in adhesively bonded composite structures. The adhesive material obeys a nonmonotone, possibly multivalued stress-strain law. The modelling is based on the use of a nonconvex nonsmooth energy function, and the numerical method for nonlinear structural analysis is based on a proximal bundle method which takes into account the nonconvexity and nonsmoothness. The numerical application concerns a steel frame and a composite two-layered structure. The theory used in this paper relates to the approach developed by \textit{P. D. Panagiotopoulos} [Inequality problems in mechanics and mechanics and applications. Convex and nonconvex energy functions. Birkhäuser Verlag, Boston-Basel-Stuttgart (1985; Zbl 0579.73014); see also Hemivariational inequalities. Applications in mechanics and engineering. Springer-Verlag, Berlin (1993; Zbl 0826.73002)].NEWLINENEWLINEFor the entire collection see [Zbl 0959.00041].